A converse to the neo-classical inequality with an application to the Mittag-Leffler function

DOI10.1007/s00605-022-01817-8OpenAlexW3210671879MaRDI QIDQ2689307

Stefan Gerhold, Thomas Simon

Publication date: 9 March 2023

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.02747

zbMATH Keywords

Mittag-Leffler functioninequalitybinomial coefficientlog-convexitystable subordinator

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Inequalities for sums, series and integrals (26D15) Stable stochastic processes (60G52)

Related Items

Fractional characteristic functions, and a fractional calculus approach for moments of random variables

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the invalidity of semigroup property for the Mittag-Leffler function with two parameters
• Mittag-Leffler functions and their applications
• On Mittag-Leffler distributions and related stochastic processes
• A note on property of the Mittag-Leffler function
• Differential equations driven by rough signals
• Fractional characteristic functions, and a fractional calculus approach for moments of random variables
• Kusuoka-Stroock gradient bounds for the solution of the filtering equation
• Path developments and tail asymptotics of signature for pure rough paths
• Convergence rates for the full Gaussian rough paths
• A moment estimate of the derivative process in rough path theory
• Fractional order Taylor's series and the neo-classical inequality
• Integrability of (Non-)Linear Rough Differential Equations and Integrals
• Mittag-Leffler Functions, Related Topics and Applications
• Some Relationships Between Locally Super-Additive Functions and Convex Functions
• Mittag-Leffler functions and complete monotonicity
• Taylor’s Series Generalized for Fractional Derivatives and Applications
• Bernstein functions. Theory and applications